Finding the Third Proportional to 120,674 and 264,700

Step by Step Solution

1. Step 1: Write the proportion equation
   120,674 : 264,700 = 264,700 : x
2. Step 2: Convert to fraction form
   120,674/264,700 = 264,700/x
3. Step 3: Cross multiply
   120,674x = 264,700 × 264,700
4. Step 4: Simplify right side
   120,674x = 70,066,090,000
5. Step 5: Solve for x
   x = 70,066,090,000/120,674
6. Step 6: Final answer
   x = 580,622.92